en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-5t}*e^{-4t}

Solution

simplify

e^{- 5 t} \cdot e^{- 4 t}

Solution

e^{- 9 t}

Solution steps

e^{- 5 t} e^{- 4 t}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 5 t} e^{- 4 t} = e^{- 5 t - 4 t}

= e^{- 5 t - 4 t}

Add similar elements:

- 5 t - 4 t = - 9 t

= e^{- 9 t}

Popular Examples

simplify-2.5*10^{-6}*509.28 simplify

- 2.5 \cdot 1 0^{- 6} \cdot 509.28

simplify e^{(-8e^{-2x+2x})}simplify

e^{(- 8 e^{- 2 x + 2 x})}

simplify 3.14*(2x)^2*15x simplify

3.14 \cdot (2 x)^{2} \cdot 15 x

simplify (x^y)/(z^y)simplify

\frac{x ^{y}}{z ^{y}}

simplify e^{4x}(x^2e^{-4x})simplify

e^{4 x} (x^{2} e^{- 4 x})

Frequently Asked Questions (FAQ)

What is e^{-5t}*e^{-4t} ?
The solution to e^{-5t}*e^{-4t} is e^{-9t}